GCF of 660/228, 8740/2106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/228, 8740/2106 i.e 20/80028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/228, 8740/2106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 660/228,8740/2106?
Given fractions are 660/228,8740/2106
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 660/228,8740/2106, numerators are 660,8740
Denominators are 228,2106
The GCF of 660,8740 is 20 .
LCM of 228,2106 is 80028.
The greatest common factor of 660/228,8740/2106 = [GCF of 660,8740]/[LCM of 228,2106]= 20/80028
Therefore, the GCF of 660/228,8740/2106 is 20/80028.
To find the highest common factor of 660,8740, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740
The HCF of 660,8740 is 20.
Lets's calculate GCF of 660,8740
| 2 | 660, 8740 |
| 2 | 330, 4370 |
| 5 | 165, 2185 |
| 33, 437 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 660,8740 By Matching Biggest Common Factor Method
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 8740
:1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 660,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 660,8740 is 20.
Lets's calculate LCM of 228,2106
| 2 | 228, 2106 |
| 3 | 114, 1053 |
| 38, 351 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 351 = 80028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/80028
Therefore, the GCF of Fractions 660/228,8740/2106 is 20/80028
Least Common Multiple of 228,2106 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 228,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2106) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2106) x common factors =6 x 1 = 6
LCM(228,2106) = ( 228 × 2106 ) / 6
LCM(228,2106) = 480168 / 6
LCM(228,2106) = 80028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 660/228, 8740/2106
1. What is the HCF of 660,8740?
The HCF of 660,8740 is 20
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 660/228, 8740/2106?
Answer: GCF of Numerators as per given numbers 660/228, 8740/2106 is
GCF of Numerators i.e. for 660,8740 is 20
LCM of denominators i.e. for 228,2106 is 80028.
Thus, GCF of Fractions is 20/80028.Finally, GCF of Fractions for 660/228, 8740/2106 is 20/80028.